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Atlas › Integer Profiles › Node 8,908,536

8,908,536

23 × 3 × 7 × 13 × 4079
Abundant Even Composite

8,908,536 factors as 2^3 × 3 × 7 × 13 × 4079. Its 64 positive divisors give a proper-divisor sum of 18,509,064, so this integer is abundant. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 13 × 4079
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 27,417,600
Proper Divisor Sum 18,509,064
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8908519 ← → #8908541

Radix Representation

Decimal 8908536
Binary 100001111110111011111000 (24 bits)
Octal 0o41767370
Hexadecimal 0x87EEF8

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1,092 2,184 4,079 8,158 12,237 16,316 24,474 28,553 32,632 48,948 53,027 57,106 85,659 97,896 106,054 114,212 159,081 171,318 212,108 228,424 318,162 342,636 371,189 424,216 636,324 685,272 742,378 1,113,567 1,272,648 1,484,756

Collatz Trajectory (194 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,908,536 4,454,268 2,227,134 1,113,567 3,340,702 1,670,351 5,011,054 2,505,527 7,516,582 3,758,291 11,274,874 5,637,437 16,912,312 8,456,156 4,228,078 2,114,039 6,342,118 3,171,059 9,513,178 4,756,589 14,269,768 7,134,884 3,567,442 1,783,721 5,351,164 2,675,582 1,337,791 4,013,374 2,006,687 6,020,062 3,010,031 9,030,094 4,515,047 13,545,142 6,772,571 20,317,714 10,158,857 30,476,572 15,238,286 7,619,143 22,857,430 11,428,715 34,286,146 17,143,073 51,429,220 25,714,610 12,857,305 38,571,916 19,285,958 9,642,979 28,928,938 14,464,469 43,393,408 21,696,704 10,848,352 5,424,176 2,712,088 1,356,044 678,022 339,011

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